873662032283040 has 8064 divisors, whose sum is σ = 4335463401099264. Its totient is φ = 162749415628800.

The previous prime is 873662032282993. The next prime is 873662032283101. The reversal of 873662032283040 is 40382230266378.

873662032283040 is a `hidden beast` number, since 8 + 7 + 3 + 6 + 6 + 2 + 0 + 322 + 8 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 12305099046205 + ... + 12305099046275.

It is an arithmetic number, because the mean of its divisors is an integer number (537631870176).

Almost surely, 2^{873662032283040} is an apocalyptic number.

873662032283040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873662032283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167731700549632).

873662032283040 is an abundant number, since it is smaller than the sum of its proper divisors (3461801368816224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

873662032283040 is a wasteful number, since it uses less digits than its factorization.

873662032283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 873662032283040 in words is "eight hundred seventy-three trillion, six hundred sixty-two billion, thirty-two million, two hundred eighty-three thousand, forty".